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We show in general that for a relativistic theory with curved momentum space, i.e.~a theory with deformed relativistic symmetries, the physical velocity of particles coincides with their group velocity.
1903
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P. Kosinski and P. Maslanka, “On the definition of velocity in doubly special relativity theories,” Phys. Rev. D68
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G. Amelino-Camelia, F. D’Andrea and G. Mandanici, “Group velocity in noncommutative spacetime,” JCAP 0309
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S. Mignemi, hep-th/0302065, “On the definition of velocity in theories with two observer-independent scales,” Phys. Lett. A316
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M. Daszkiewicz, K. Imilkowska and J. Kowalski-Glikman, “Velocity of particles in doubly special relativity,” Phys. Lett. A323
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J. Kowalski-Glikman, “Living in Curved Momentum Space,” Int. J. Mod. Phys. A 28
2012
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2012
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G. Gubitosi and F. Mercati, “Relative Locality in κ \kappa -Poincaré,” Class. Quant. Grav. 30
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S. Ghosh, “A Lagrangian for DSR Particle and the Role of Noncommutativity,” Phys. Rev. D74
2006
Cited alongside, same era.
S. Ghosh and P. Pal, “Deformed Special Relativity and Deformed Symmetries in a Canonical Framework,” Phys. Rev. D 75
2007
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2010
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2011
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2011
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2011
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2011
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2013
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2015
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2015
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2015
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2016
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S. Mignemi and A. Samsarov, “Relative-locality effects in Snyder spacetime,” Phys. Lett. A 381
2017
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2017
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2017
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S. Mignemi and N. Uras, “Noncommutative geometry of the quantum clock,” Phys. Lett. A 383
2019
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